Prove that the sequence {xn} and the series both converge

Chapter , Problem 89PE

(choose chapter or problem)

Prove that the sequence \(\left\{x_{n}\right\}\) and the series \(\sum_{k=1}^{\infty}\left(x_{k+1}-x_{k}\right)\) both converge or both diverge.

Equation Transcription:

Text Transcription:

{xn}

sum_k=1 ^infty (x_k+1-x_k)

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